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Finding the Fourth Proportional to 33,696.49, 46,516.10 and 21,765.64

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Solution

The fourth proportional to 33,696.49, 46,516.10 and 21,765.64 is: 30,046.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,696.49 : 46,516.10 = 21,765.64 : x
  2. Step 2: Convert to fraction form
    33,696.49/46,516.10 = 21,765.64/x
  3. Step 3: Cross multiply
    33,696.49x = 46,516.10 × 21,765.64
  4. Step 4: Simplify right side
    33,696.49x = 1,012,452,686.80
  5. Step 5: Solve for x
    x = 1,012,452,686.80/33,696.49
  6. Step 6: Final answer
    x = 30,046.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.